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What is the Least Common Multiple of 28010 and 28028?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 28010 and 28028 is 392532140.

LCM(28010,28028) = 392532140

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Least Common Multiple of 28010 and 28028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28010 and 28028, than apply into the LCM equation.

GCF(28010,28028) = 2
LCM(28010,28028) = ( 28010 × 28028) / 2
LCM(28010,28028) = 785064280 / 2
LCM(28010,28028) = 392532140

Least Common Multiple (LCM) of 28010 and 28028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28010 and 28028. First we will calculate the prime factors of 28010 and 28028.

Prime Factorization of 28010

Prime factors of 28010 are 2, 5, 2801. Prime factorization of 28010 in exponential form is:

28010 = 21 × 51 × 28011

Prime Factorization of 28028

Prime factors of 28028 are 2, 7, 11, 13. Prime factorization of 28028 in exponential form is:

28028 = 22 × 72 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 28010 and 28028.

LCM(28010,28028) = 22 × 51 × 28011 × 72 × 111 × 131
LCM(28010,28028) = 392532140